Author: Willem HundsdorferPublisher: Springer Science & Business Media
ISBN: 3662090171
Category : Technology & Engineering
Languages : en
Pages : 479
Book Description
Unique book on Reaction-Advection-Diffusion problems
Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations
Author: Willem HundsdorferPublisher: Springer Science & Business Media
ISBN: 3662090171
Category : Technology & Engineering
Languages : en
Pages : 479
Book Description
Unique book on Reaction-Advection-Diffusion problems
Numerical Solutions of Diffusion-type Equations
Author: John Loyd BryanPublisher:
ISBN:
Category : Equations
Languages : en
Pages : 106
Book Description
A method of obtaining numerical solutions of a general class of boundary-value problems governed by the two-dimensional diffusion equation is investigated. The method employs a partial discretization of independent variables to reduce the problem of partial differential equations to a sequence of related boundary-value problems governed by a system of linear second-order ordinary differential equations. The generality of the method is demonstrated by applications to example problems involving both regular and irregular boundaries with boundary conditions of a general type. Application of separation of variables techniques to obtain closed-form solutions of a certain class of problems is presented and the results are used to indicate the accuracy of the method. An investigation into the stability characteristics of the resulting system of ordinary differential equations is also presented. It is concluded that the method appears to show promise as an easily implemented numerical method but that the full potential of the approach will not be realized until significant advances have been made in both computing hardware and software. (Author).
The Mathematics of Diffusion
Author: John CrankPublisher: Oxford University Press
ISBN: 9780198534112
Category : Mathematics
Languages : en
Pages : 428
Book Description
Though it incorporates much new material, this new edition preserves the general character of the book in providing a collection of solutions of the equations of diffusion and describing how these solutions may be obtained.
A Numerical Solution for the Diffusion Equation in Hydrogeologic Systems
Author: Audrey L. IshiiPublisher:
ISBN:
Category : Aquifers
Languages : en
Pages : 100
Book Description
Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations
Author: Willem HundsdorferPublisher: Springer Science & Business Media
ISBN: 9783540034407
Category : Mathematics
Languages : en
Pages : 498
Book Description
Unique book on Reaction-Advection-Diffusion problems
Numerical Bifurcation Analysis for Reaction-Diffusion Equations
Author: Zhen MeiPublisher: Springer Science & Business Media
ISBN: 3662041774
Category : Mathematics
Languages : en
Pages : 422
Book Description
This monograph is the first to provide readers with numerical tools for a systematic analysis of bifurcation problems in reaction-diffusion equations. Many examples and figures illustrate analysis of bifurcation scenario and implementation of numerical schemes. Readers will gain a thorough understanding of numerical bifurcation analysis and the necessary tools for investigating nonlinear phenomena in reaction-diffusion equations.
Robust Numerical Methods for Singularly Perturbed Differential Equations
Author: Hans-Görg RoosPublisher: Springer Science & Business Media
ISBN: 3540344675
Category : Mathematics
Languages : en
Pages : 599
Book Description
This new edition incorporates new developments in numerical methods for singularly perturbed differential equations, focusing on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics.
Numerical Methods for the Solution of Diffusion-advection Equations
Author: J. SiemonsNumerical Predictions of Nonlinear Diffusion with Homogeneous Recombinatioins and Time-varying Boundary Conditions
Author: Walter Albert ReinhardtPublisher:
ISBN:
Category : Diffusion
Languages : en
Pages : 48
Book Description
Fractional Integrals and Derivatives
Author: Stefan SamkoPublisher: CRC Press
ISBN: 9782881248641
Category : Mathematics
Languages : en
Pages : 1016
Book Description
In San Francisco, a fisherman's get-rich-quick scheme ends in violence. As sharks fetch high prices, he hires a professional shark hunter to go fishing, the deal being he gets the first three tons, the hunter the rest. But as the hunter's share piles up, jealousy rears its head.